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We are concerned with I.V.P for the isentropic equations of gas dynamics(1) ρ_t+(ρu)_x=0,(ρu)_t+(ρu~2+p)_x=0,(2) (ρ,u)|_(t=0)=(ρ_0(x),u_0(x)), where ρ=(ρ~r)/r, 2